Find the missing number in the series: 144, 441, 169, 961, 196, 1681, 225, ___
2025
Find the missing number in the series:
144, 441, 169, 961, 196, 1681, 225, ___
- A.
2601
- B.
2201
- C.
2401
- D.
2501
Attempted by 18 students.
Show answer & explanation
Correct answer: A

Key insight: the terms are perfect squares arranged in pairs where each base number is the digit-reversal of the previous base.
12^2 = 144 and 21^2 = 441
13^2 = 169 and 31^2 = 961
14^2 = 196 and 41^2 = 1681
15^2 = 225 and 51^2 = 2601
Therefore the missing number is 2601 (which is 51^2).